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|Title:||On structure and distances of some classes of repeated-root constacyclic codes over Galois rings|
|Authors:||Hai Q. Dinh|
Xiu sheng Liu
|Abstract:||© 2016 Elsevier Inc. The structure of λ-constacyclic codes of length 2sover the Galois ring GR(2a,m) is obtained, for any unit λ of the form 4z−1, z∈GR(2a,m). The duals codes and necessary and sufficient conditions for the existence of a self-dual λ-constacyclic code are provided. Among others, this structure is used to establish the Hamming, homogeneous, and Rosenbloom–Tsfasman distances, and Rosenbloom–Tsfasman weight distribution of all such constacyclic codes.|
|Appears in Collections:||CMUL: Journal Articles|
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